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Simplifying 2(1 + 4n) + -1n = 27 + 2n (1 * 2 + 4n * 2) + -1n = 27 + 2n (2 + 8n) + -1n = 27 + 2n Combine like terms: 8n + -1n = 7n 2 + 7n = 27 + 2n Solving 2 + 7n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 7n + -2n = 27 + 2n + -2n Combine like terms: 7n + -2n = 5n 2 + 5n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 5n = 27 + 0 2 + 5n = 27 Add '-2' to each side of the equation. 2 + -2 + 5n = 27 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 27 + -2 5n = 27 + -2 Combine like terms: 27 + -2 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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